hmmm so... the point Q partitions the segment AC in a 3:1 ratio
hmm what does the 3:1 ratio mean?

jdoe0001

2 years ago

|dw:1439509455735:dw|

anonymous

2 years ago

in the middle of a and c

jdoe0001

2 years ago

hmm what does 3:1 mean?

anonymous

2 years ago

i think 3/4

jdoe0001

2 years ago

hmm what do you mean 3/4?

anonymous

2 years ago

tbh idkwat 3:1 mean

anonymous

2 years ago

do u know

anonymous

2 years ago

@LynFran

anonymous

2 years ago

A point Q on a segment with endpoints A(2, −1) and C(4, 2) partitions the segment in a 3:1 ratio. Find Q. You must show all work to receive credit.

anonymous

2 years ago

can you help me with this ^^^^^^

jdoe0001

2 years ago

well hmmm
if you have 1 tomato, and you sister has 2 tomatoes
and for every tomato I give you, I give your sister 2 tomatoes
so you have 2, she gets 4
you have 3, she gets 6
you have 4, she gets 8
and so on
so... what do you think is the "ratio" of her tomatoes to yours?

anonymous

2 years ago

hers 2:1

anonymous

2 years ago

@jdoe0001

jdoe0001

2 years ago

yeap.... 2:1 two to 1, for every one for you, she gets 2
thus
3:1 means, for every 3 for one side, the other side gets 1
so, there are really 4 sides then
and point Q is closer to one of the endpoints by 1/4 and 3/4 away from the other

anonymous

2 years ago

ookay is that the answer

jdoe0001

2 years ago

so that means the segment AC gets split in 4 parts then, to get a 3:1 ratio
now is it from A to C or C to A
well, judging from the wording
I'd think is from A to C
so the segment AC gets partition in 4 parts, and from A to C is on a 3:1 ratio

|dw:1439510186061:dw| so there's where Q is at
now... what's that point
well....

anonymous

2 years ago

so what the answer @jdoe0001

jdoe0001

2 years ago

hmm nope

anonymous

2 years ago

its 5,3

jdoe0001

2 years ago

|dw:1439510294580:dw| so, keeping that in mind
hmm 5,3? how did you get it anyway?

anonymous

2 years ago

i saw C was 4,2 so i thought 5,3

jdoe0001

2 years ago

hmm well... keeping the above in mind
gimme a sec

anonymous

2 years ago

ok

anonymous

2 years ago

are u trying solve it

jdoe0001

2 years ago

actually, should be 2,-1|dw:1439510546667:dw|
yes, gimme one sec

jdoe0001

2 years ago

hmmm hold the mayo.. for a sec.. I think I got the points... backwards

jdoe0001

2 years ago

shoot

anonymous

2 years ago

3:1 means 3/4 and 1/4 of the total length. To go 3/4 from A to C: find the difference in x and go 3/4 toward C (3/4)(4-2) = 1.5, so use x'=2+1.5 = 3.5 find the difference in y and go 3/4 toward C. you do this one. y' = ??? point will then be (x', y')